Evaluate the expression. If necessary, round to the nearest hundredth. lne^3x^2

lne^3x^2

by the properties of logarithm

lna^x = xlna

so, the equation goes by

3x^2 lne; lne = 1

so the equation is 3x^2

For this case we have the following expression:

lne ^ 3x ^ 2

Rewriting we have:

ln (e ^ (3x ^ 2))

By properties of the natural and exponential logarithm function, we can

rewrite the expression as:

ln (e ^ (3x ^ 2)) = 3x ^ 2

Answer:

The equivalent expression is given by:

3x ^ 2